en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(1-x)/4 <(2x-2)/5

Solution

\frac{1 - x}{4} < \frac{2 x - 2}{5}

Solution

x > 1

+1

Interval Notation

(1, \infty)

Solution steps

\frac{1 - x}{4} < \frac{2 x - 2}{5}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(1 - x) \cdot 5 < 4 (2 x - 2)

Expand

(1 - x) \cdot 5 : 5 - 5 x

Expand

4 (2 x - 2) : 8 x - 8

5 - 5 x < 8 x - 8

Move

5

to the right side

- 5 x < 8 x - 13

Move

8 x

to the left side

- 13 x < - 13

Multiply both sides by

- 1

13 x > 13

Divide both sides by

13

x > 1

Popular Examples

factor ab+a factor

ab + a

- 12 = 3 x

∣ x - 6 ∣ = 0

factor 16x^2-4 factor

16 x^{2} - 4

4 + \frac{n}{3} \leq 6

Frequently Asked Questions (FAQ)

What is (1-x)/4 <(2x-2)/5 ?
The solution to (1-x)/4 <(2x-2)/5 is x>1